K13n1249
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Polynomial invariants
| Jones polynomial | Data:K13n1249/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+13 t^2-22 t+27-22 t^{-1} +13 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1249/Conway Polynomial |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +5 z^6-3 a^2 z^4-3 z^4 a^{-2} +9 z^4-3 a^2 z^2-3 z^2 a^{-2} +7 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+6 a z^9+5 z^9 a^{-1} +2 a^2 z^8+9 z^8 a^{-2} +11 z^8+a^3 z^7-7 a z^7+8 z^7 a^{-3} +4 a^4 z^6-15 z^6 a^{-2} +4 z^6 a^{-4} -23 z^6+a^5 z^5+2 a^3 z^5+5 a z^5-10 z^5 a^{-1} -13 z^5 a^{-3} +z^5 a^{-5} -6 a^4 z^4-2 a^2 z^4+9 z^4 a^{-2} -5 z^4 a^{-4} +18 z^4-2 a^5 z^3-6 a^3 z^3-5 a z^3+6 z^3 a^{-1} +6 z^3 a^{-3} -z^3 a^{-5} +2 a^4 z^2-2 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} -9 z^2+a^5 z+2 a^3 z+a z-z a^{-1} -z a^{-3} +a^2+ a^{-2} +3 }[/math] |
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